O1: Anchoring experiment [1 8 marks] Students in ENVSEHB were asked to estimate "the percentage of countries in the United Nations (UN) that are in Africa". The correct answer is 28 \"is; however. the purpose oi asking the question was to replicate a famous experiment from psychology about a phenomenon called \"Anchoring\". Before being asked the question above, each student was assigned some prior information in the form of a "random number" between 1-1130, and was asked whether the percentage was higherrlower than that number. This was actually part of an experiment to test whether the prior information has an impact, on average. on students' estimates. In the experiment, only two " random numbers". X=10 and X265. were provided as prior information, and these were used to create two independent groups of students. The mean estimate of the X=1D group is 25.1 \":3, the mean for the X=65 group is 33.? We, and the distribution of estimates for both groups is shown below: a) Using appropriate statistical terminology, describe the two distributions. [2 marks] b) What is the most appropriate statistical method for this data? Fully justify your selection. [3 marks] c} Write appropriate hypotheses {HtJ and HA) tor the statistical test above, writing one sentence to justify your choice of HA. [4 marks] d) After conducting the test in SPSS, the standardized test statistic (relative to the X:65 group] was 4.46. Write one sentence interpreting what the test statistic is telling us. [5 marks] e) Provide a rough estimate of what you think the P-value would be for this test (it only needs to be approximate: don't worry about looking it up). [1 mark] t) Write a conclusion sentence to end the research project. What is the major finding? [3 marks]